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Index
Cover Front Matter Part I. Introduction
1. Felix Klein—Mathematician, Academic Organizer, Educational Reformer 2. What Is or What Might Be the Legacy of Felix Klein?
Part II. Functional Thinking
3. Functional Thinking: The History of a Didactical Principle 4. Teachers’ Meanings for Function and Function Notation in South Korea and the United States 5. Is the Real Number Line Something to Be Built, or Occupied? 6. Coherence and Fidelity of the Function Concept in School Mathematics
Part III. Intuitive Thinking and Visualization
7. Aspects of “Anschauung” in the Work of Felix Klein 8. Introducing History of Mathematics Education Through Its Actors: Peter Treutlein’s Intuitive Geometry 9. The Road of the German Book Praktische Analysis into Japanese Secondary School Mathematics Textbooks (1943–1944): An Influence of the Felix Klein Movement on the Far East 10. Felix Klein’s Mathematical Heritage Seen Through 3D Models 11. The Modernity of the Meraner Lehrplan for Teaching Geometry Today in Grades 10–11: Exploiting the Power of Dynamic Geometry Systems
Part IV. Elementary Mathematics from a Higher Standpoint—Conception, Realization, and Impact on Teacher Education
12. Klein’s Conception of ‘Elementary Mathematics from a Higher Standpoint’ 13. Precision Mathematics and Approximation Mathematics: The Conceptual and Educational Role of Their Comparison 14. Examples of Klein’s Practice Elementary Mathematics from a Higher Standpoint: Volume I 15. A Double Discontinuity and a Triple Approach: Felix Klein’s Perspective on Mathematics Teacher Education
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